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Finding the Third Proportional to 245,412 and 535,171

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Solution

The third proportional to 245,412 and 535,171 is: 1,167,049.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,412 : 535,171 = 535,171 : x
  2. Step 2: Convert to fraction form
    245,412/535,171 = 535,171/x
  3. Step 3: Cross multiply
    245,412x = 535,171 × 535,171
  4. Step 4: Simplify right side
    245,412x = 286,407,999,241
  5. Step 5: Solve for x
    x = 286,407,999,241/245,412
  6. Step 6: Final answer
    x = 1,167,049.69

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.